Nomlinear Hall effect in a time-periodic electric field and related phenomena

TL;DR

This paper investigates a nonlinear phenomenon where particles near a metal surface experience directed transport perpendicular to both electric and magnetic fields under a time-periodic electric field, with implications for surface currents and inhomogeneous media.

Contribution

The study reveals a nonlinear effect causing directed particle transport perpendicular to both fields, with quantitative analysis for various particles and conditions, extending understanding of surface and bulk phenomena.

Findings

Directed transport velocity proportional to magnetic field and square of electric field.

Surface electric current depends on electric field frequency and material properties.

Similar effects observed in electrically inhomogeneous bulk media.

Abstract

A motion of neutral and charged particles located nearby a metal surface under joint action of time-periodic electric field E(t) directed normally to the surface and permanent magnetic field H directed along the surface has been considered. I has been shown that due to a nonlinearity of the system there exists a directed transport of the particles perpendicularly to both magnetic and electric fields with velocity which is proportional to H and a square of E. The mean velocity has been evaluated for charged (ions,electrons etc.) and neutral (atoms, molecules, nano-size clusters etc.) particles adsorbed on a metal surface. Corresponding surface electric current has been found as a function of a frequency of the electric field and material parameters. It has been noted that the similar phenomena appear in a bulk of electrically inhomogeneous media.